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Finding the Fourth Proportional to 200,714.90, 301,072.35 and 82,471.10

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Solution

The fourth proportional to 200,714.90, 301,072.35 and 82,471.10 is: 123,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,714.90 : 301,072.35 = 82,471.10 : x
  2. Step 2: Convert to fraction form
    200,714.90/301,072.35 = 82,471.10/x
  3. Step 3: Cross multiply
    200,714.90x = 301,072.35 × 82,471.10
  4. Step 4: Simplify right side
    200,714.90x = 24,829,767,884.09
  5. Step 5: Solve for x
    x = 24,829,767,884.09/200,714.90
  6. Step 6: Final answer
    x = 123,706.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.